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Question

Math 6420 • PDE

Fall 1999 • Question 1

Construct the Green function for the equation \[ -u''+u=f(x)\qquad (-\infty \le x\le +\infty ),\qquad u(x)\to 0\text { as }x\to \pm \infty . \]

Raw LaTeX

Construct the Green function for the equation
\[
  -u''+u=f(x)\qquad (-\infty\le x\le +\infty),\qquad
  u(x)\to 0\text{ as }x\to\pm\infty.
\]